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Finding the Fourth Proportional to 1,261.84, 1,741.44 and 730.91

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Solution

The fourth proportional to 1,261.84, 1,741.44 and 730.91 is: 1,008.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,261.84 : 1,741.44 = 730.91 : x
  2. Step 2: Convert to fraction form
    1,261.84/1,741.44 = 730.91/x
  3. Step 3: Cross multiply
    1,261.84x = 1,741.44 × 730.91
  4. Step 4: Simplify right side
    1,261.84x = 1,272,835.91
  5. Step 5: Solve for x
    x = 1,272,835.91/1,261.84
  6. Step 6: Final answer
    x = 1,008.72

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.